Different methods of orthogonal projection onto a hyperspace defined by n points in a Euclidean space of dimension n

Diferentes métodos para la obtención de la proyección ortogonal sobre un hiperplano definido por n puntos en un espacio euclídeo de dimensión n

Flaquer, Juan
Detalles Bibliográficos
2015
Proyecciones ortogonales
Hiperespacios
Métodos Numéricos
MATLAB
Orthogonal projections
Hyperspace
Numerical Methods
MATLAB
Español
Universidad de Montevideo
REDUM
http://revistas.um.edu.uy/index.php/ingenieria/article/view/340
Acceso abierto
Atribución 4.0 Internacional
Resumen:
Sumario:This article presents nine different methods of orthogonal projection onto a hyperspace defined by points. These methods have been implemented in MATLAB language. Comparisons have been made of numerical precision and cpu times, taking one of them as a reference. It has placed special emphasis on an inversion’s method with comments to its potential and some demonstrations that justify the intermediate steps used.